What is the Least Common Multiple of 23845 and 23865?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 23845 and 23865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23845 and 23865, than apply into the LCM equation.

GCF(23845,23865) = 5
LCM(23845,23865) = ( 23845 × 23865) / 5
LCM(23845,23865) = 569060925 / 5
LCM(23845,23865) = 113812185

Least Common Multiple (LCM) of 23845 and 23865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23845 and 23865. First we will calculate the prime factors of 23845 and 23865.

Prime Factorization of 23845

Prime Factorization of 23865

Now multiplying the highest exponent prime factors to calculate the LCM of 23845 and 23865.

LCM(23845,23865) = 5¹ × 19¹ × 251¹ × 3¹ × 37¹ × 43¹
LCM(23845,23865) = 113812185